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Finding the Fourth Proportional to 15,500, 23,249.92 and 8,589.12

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Solution

The fourth proportional to 15,500, 23,249.92 and 8,589.12 is: 12,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500 : 23,249.92 = 8,589.12 : x
  2. Step 2: Convert to fraction form
    15,500/23,249.92 = 8,589.12/x
  3. Step 3: Cross multiply
    15,500x = 23,249.92 × 8,589.12
  4. Step 4: Simplify right side
    15,500x = 199,696,352.87
  5. Step 5: Solve for x
    x = 199,696,352.87/15,500
  6. Step 6: Final answer
    x = 12,883.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.